Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2009-07-27
Nucl.Phys.A831:184-214,2009
Physics
High Energy Physics
High Energy Physics - Phenomenology
5 figures, 37 pages v2: added references and corrected typo
Scientific paper
10.1016/j.nuclphysa.2009.09.062
We discuss the Schwinger mechanism in scalar QED and derive the multiplicity distribution of particles created under an external electric field using the LSZ reduction formula. Assuming that the electric field is spatially homogeneous, we find that the particles of different momenta are produced independently, and that the multiplicity distribution in one mode follows a Bose-Einstein distribution. We confirm the consistency of our results with an intuitive derivation by means of the Bogoliubov transformation on creation and annihilation operators. Finally we revisit a known solvable example of time-dependent electric fields to present exact and explicit expressions for demonstration.
Fukushima Kenji
Gelis Francois
Lappi Tuomas
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